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Finding the Third Proportional to 414,693,812 and 890,929,396

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Solution

The third proportional to 414,693,812 and 890,929,396 is: 1,914,075,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,693,812 : 890,929,396 = 890,929,396 : x
  2. Step 2: Convert to fraction form
    414,693,812/890,929,396 = 890,929,396/x
  3. Step 3: Cross multiply
    414,693,812x = 890,929,396 × 890,929,396
  4. Step 4: Simplify right side
    414,693,812x = 793,755,188,656,924,800
  5. Step 5: Solve for x
    x = 793,755,188,656,924,800/414,693,812
  6. Step 6: Final answer
    x = 1,914,075,314.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.